Honestly the best suggestion I've seen for carrying multiple exotics is to have an exotic armor that has the exotic perk that allows you to carry an extra exotic gun so you would basically be trading your exotic armor for an extra exotic gun
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Awesome idea. But here's my beef with it... For one I want more quests and more non RNG rewards . Like murmur, necrochasm, and those terrible xur gloves. The armor piece you speak of can be obtained in that fashion, but what if someone wants to equip two exotic armor pieces? Plus I really want the uniqueness we were promised, everyone wearing the same exotic piece doesn't solve that. But being forced to choose ONLY ONE exotic to equip with others would make you unique and not affect game balancing to much cause you would have to choose wisely.